Nearest Singular Polynomials
نویسندگان
چکیده
منابع مشابه
Nearest Singular Polynomials
The nearest singular polynomials to a given polynomial have been studied in [1], based on minimization of quadratic forms. An equivalent expression of the quadratic form is presented. It leads to a simple equation satisfied by the double zeros of the nearest singular polynomials. The amount of computational work is economized.
متن کاملHybrid Method for Computing the Nearest Singular Polynomials
In this paper, we propose a combined symbolic-numeric algorithm for computing the nearest singular polynomial and its multiple zero. Explicit expressions of the minimal perturbation and the nearest singular polynomials are presented. A theoretical error bound and several numerical examples are given.
متن کاملComputing the nearest singular univariate polynomials with given root multiplicities
In this paper, we derive explicit expressions for the nearest singular polynomials with given root multiplicities and its distance to the given polynomial. These expressions can be computed recursively. These results extend previous results of (Zhi et al., 2004; Zhi and Wu, 1998).
متن کاملNearest common root of polynomials, approximate greatest common divisor and the structured singular value
Copyright & reuse City University London has developed City Research Online so that its users may access the research outputs of City University London's staff. Copyright © and Moral Rights for this paper are retained by the individual author(s) and/ or other copyright holders. All material in City Research Online is checked for eligibility for copyright before being made available in the live ...
متن کاملSolving singular integral equations by using orthogonal polynomials
In this paper, a special technique is studied by using the orthogonal Chebyshev polynomials to get approximate solutions for singular and hyper-singular integral equations of the first kind. A singular integral equation is converted to a system of algebraic equations based on using special properties of Chebyshev series. The error bounds are also stated for the regular part of approximate solut...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1998
ISSN: 0747-7171
DOI: 10.1006/jsco.1998.0233